Least Common Multiple of 1532 and 1534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1532 and 1534 the smallest integer that is 1175044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1532 and 1534 is 1175044.

LCM(1532,1534) = 1175044

LCM of 1532 and 1534

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1532 and 1534

LCM of 1532 and 1534 is 1175044

Least common multiple can be found by multiplying the highest exponent prime factors of 1532 and 1534. First we will calculate the prime factors of 1532 and 1534.

Prime Factorization of 1532


2 1532
2 766
383 383
1

Prime factors of 1532 are 2,383. Prime factorization of 1532 in exponential form is:

1532 = 22×3831

Prime Factorization of 1534


2 1534
13 767
59 59
1

Prime factors of 1534 are 2, 13,59. Prime factorization of 1534 in exponential form is:

1534 = 21×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1532 and 1534.

LCM(1532,1534) = 22×131×591×3831
LCM(1532,1534) = 1175044

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1, 2, 4, 383, 766, 1532

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1, 2, 13, 26, 59, 118, 767, 1534

Least Common Multiple of 1532 and 1534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1532 and 1534, than apply into the LCM equation.

GCF(1532,1534) = 2
LCM(1532,1534) = ( 1532 × 1534) / 2
LCM(1532,1534) = 2350088 / 2
LCM(1532,1534) = 1175044

Properties of LCM 1532 and 1534

(i) The LCM of 1534 and 1532 is associative

LCM of 1532 and 1534 = LCM of 1534 and 1532

Related Least Common Multiples of 1532

Related Least Common Multiples of 1534

Frequently Asked Questions on LCM of 1532 and 1534

1. What is the LCM of 1532 and 1534?

Answer: LCM of 1532 and 1534 is 1175044.

2. What are the Factors of 1532?

Answer: Factors of 1532 are 1, 2, 4, 383, 766, 1532. There are 6 integers that are factors of 1532. The greatest factor of 1532 is 1532.

3. What are the Factors of 1534?

Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.

4. How to Find the LCM of 1532 and 1534?

Answer:

Least Common Multiple of 1532 and 1534 = 1175044

Step 1: Find the prime factorization of 1532

1532 = 2 x 2 x 383

Step 2: Find the prime factorization of 1534

1534 = 2 x 13 x 59

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1175044 = 2 x 2 x 13 x 59 x 383

Step 4: Therefore, the least common multiple of 1532 and 1534 is 1175044.